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All Journal Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA) Journal of Natural Sciences and Mathematics Research Jurnal Matematika UNAND Jurnal Diferensial LOSARI: Jurnal Pengabdian Kepada Masyarakat ARRUS Jurnal Pengabdian Kepada Masyarakat Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat (JHP2M) Journal of Mathematics, Computation and Statistics (JMATHCOS) Journal of Mathematics, Statistics, and Applications Limits: Journal of Mathematics and Its Applications
Yusuf Ramadana
Universitas Negeri Makassar
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Environmental Science Health Professions Languange, Linguistic, Communication & Media Library & Information Science Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Journal : Jurnal Matematika UNAND

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BOUNDEDNESS OF GENERALIZED FRACTIONAL INTEGRALS ON GENERALIZED WEIGHTED MORREY SPACES OVER METRIC MEASURE SPACES AND APPLICATIONS Ramadana, Yusuf
Jurnal Matematika UNAND Vol. 15 No. 1 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.1.1-16.2026

Abstract

In this paper we investigate the boundedness properties of generalized fractional integral on generalized weighted Morrey spaces over metric measure spaces. The measure used in this paper is a doubling measure which satisfies the growth condition. The results show that the generalized fractional integral is bounded from one generalized weighted Morrey spaces to another generalized weighted Morrey space over metric measure spaces either with the same or with the different parameters. Our results extend the known results for fractional integrals on generalized Morrey spaces. We then investigate the regularity of the solution of Dirichlet problem with the data in generalized weighted Morrey spaces by using the boundedness properties of the generalized fractional integral on generalized weighted Morrey space.
Co-Authors Andika Saputra ANDIKA SAPUTRA Dwi Fitriani Rosali Izzulhaq, Agung Muhammad Abdy Muhammad Syarifuddin Rahman Rahmat Hidayat Rosali, Dwi Fitriani Syafruddin Side Syamsuddin Mas'ud Syamsuddin Mas’ud